Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.

DOI10.1016/S0377-0427(03)00476-XzbMath1033.65061OpenAlexW1986792623MaRDI QIDQ1408404

J. Jayakumar, Jesus Vigo Aguiar, Srinivasan Natesan

Publication date: 15 September 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00476-x

zbMATH Keywords

convergencesingular perturbationerror estimatesnumerical examplesasymptotic approximationboundary layerfinite-difference schemesturning point problemspiecewise uniform Shishkin mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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